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Finding the Fourth Proportional to 706.53, 975.14 and 407.75

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Solution

The fourth proportional to 706.53, 975.14 and 407.75 is: 562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.53 : 975.14 = 407.75 : x
  2. Step 2: Convert to fraction form
    706.53/975.14 = 407.75/x
  3. Step 3: Cross multiply
    706.53x = 975.14 × 407.75
  4. Step 4: Simplify right side
    706.53x = 397,606.42
  5. Step 5: Solve for x
    x = 397,606.42/706.53
  6. Step 6: Final answer
    x = 562.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.